(Answered) Question worldwide golf ball sales total more than 1

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Question: Worldwide golf ball sales total more than $1 billion annually. One reason for such a large number of golf ball purchases is that golfers lose them at a rate of 4.5 per 18-hole round ( Snapshots, usatoday.com, January 29, 2004). Assume that the number of golf balls lost in an 18-hole round is distributed as a Poisson random variable.

a. What assumptions need to be made so that the number of golf balls lost in an 18-hole round is distributed as a Poisson random variable? Making the assumptions given in (a), what is the probability that

i. 0 balls will be lost in an 18-hole round?

ii. 5 or less balls will be lost in an 18-hole round?

iii. 6 or more balls will be lost in an 18-hole round?

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